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Mathematics > Algebraic Geometry

arXiv:1807.09983 (math)
[Submitted on 26 Jul 2018 (v1), last revised 4 Dec 2019 (this version, v2)]

Title:Wildly Ramified Rigid $G_2$-Local Systems

Authors:Konstantin Jakob
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Abstract:In earlier work of the author rigid irregular connections with differential Galois group $G_2$ and whose slopes have numerator $1$ were classified and new rigid connections were constructed. The same construction can be carried out for $\ell$-adic local systems in the setting of positive characteristic. In this article we provide the results that are needed to obtain the classification of wildly ramified rigid $G_2$-local systems whose slopes have numerator $1$. The overall strategy of the classification is very similar but the methods needed to obtain some invariants differ.
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1807.09983 [math.AG]
  (or arXiv:1807.09983v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.09983
Journal reference: Bull. London Math. Soc., 55 (2023): 2539-2556
Related DOI: https://doi.org/10.1112/blms.12881

Submission history

From: Konstantin Jakob [view email]
[v1] Thu, 26 Jul 2018 07:19:19 UTC (24 KB)
[v2] Wed, 4 Dec 2019 17:04:53 UTC (24 KB)
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